Fault Impedance given Sequence Voltages(LGF) Calculator

✖Zero Sequence Voltage LG consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together.ⓘ Zero Sequence Voltage LG [V_0(lg)]			+10% -10%
✖Positive Sequence Voltage LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.ⓘ Positive Sequence Voltage LG [V_1(lg)]			+10% -10%
✖Negative Sequence Voltage LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.ⓘ Negative Sequence Voltage LG [V_2(lg)]			+10% -10%
✖Positive Sequence Current LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.ⓘ Positive Sequence Current LG [I_1(lg)]			+10% -10%

✖Fault Impedance LG is a measure of the resistance and reactance in an electrical circuit that is used to calculate the fault current that flows through the circuit in the event of a fault.ⓘ Fault Impedance given Sequence Voltages(LGF) [Z_f(lg)]

⎘ Copy

👎

Formula

✖

Fault Impedance given Sequence Voltages(LGF)

Formula

`"Z"_{"f(lg)"} = ("V"_{"0(lg)"}+"V"_{"1(lg)"}+"V"_{"2(lg)"})/(3*"I"_{"1(lg)"})`

Example

`"8.521739Ω"=("17.6V"+"17.5V"+"16.056V")/(3*"2.001A")`

Calculator

LaTeX

Reset

👍

Download Fault Formula PDF PDF Image

Fault Impedance given Sequence Voltages(LGF) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fault Impedance LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current LG)
Z_f(lg) = (V_0(lg)+V_1(lg)+V_2(lg))/(3*I_1(lg))
This formula uses 5 Variables

Variables Used

Fault Impedance LG - (Measured in Ohm) - Fault Impedance LG is a measure of the resistance and reactance in an electrical circuit that is used to calculate the fault current that flows through the circuit in the event of a fault.
Zero Sequence Voltage LG - (Measured in Volt) - Zero Sequence Voltage LG consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together.
Positive Sequence Voltage LG - (Measured in Volt) - Positive Sequence Voltage LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.
Negative Sequence Voltage LG - (Measured in Volt) - Negative Sequence Voltage LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.
Positive Sequence Current LG - (Measured in Ampere) - Positive Sequence Current LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.

STEP 1: Convert Input(s) to Base Unit

Zero Sequence Voltage LG: 17.6 Volt --> 17.6 Volt No Conversion Required
Positive Sequence Voltage LG: 17.5 Volt --> 17.5 Volt No Conversion Required
Negative Sequence Voltage LG: 16.056 Volt --> 16.056 Volt No Conversion Required
Positive Sequence Current LG: 2.001 Ampere --> 2.001 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_f(lg) = (V_0(lg)+V_1(lg)+V_2(lg))/(3*I_1(lg)) --> (17.6+17.5+16.056)/(3*2.001)

Evaluating ... ...

Z_f(lg) = 8.52173913043478

STEP 3: Convert Result to Output's Unit

8.52173913043478 Ohm --> No Conversion Required

FINAL ANSWER

8.52173913043478 ≈ 8.521739 Ohm <-- Fault Impedance LG

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Fault » Shunt Faults » Unsymmetrical Faults » L-G Fault » Impedance » Fault Impedance given Sequence Voltages(LGF)

Credits

Created by Nisarg

Indian Institute of Technology,Roorlee (IITR), Roorkee

Nisarg has created this Calculator and 100+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 10+ Impedance Calculators

Positive Sequence Impedance using A-Phase EMF (LGF)

Go Positive Sequence Impedance LG = (EMF Induced in Primary Winding LG/Positive Sequence Current LG)-(3*Fault Impedance LG)-Zero Sequence Impedance LG-Negative Sequence Impedance LG

Negative Sequence Impedance using A-Phase EMF (LGF)

Go Negative Sequence Impedance LG = (EMF Induced in Primary Winding LG/Negative Sequence Current LG)-(3*Fault Impedance LG)-Positive Sequence Impedance LG-Zero Sequence Impedance LG

Zero Sequence Impedance using A-Phase EMF (LGF)

Go Zero Sequence Impedance LG = (EMF Induced in Primary Winding LG/Zero Sequence Current LG)-(3*Fault Impedance LG)-Positive Sequence Impedance LG-Negative Sequence Impedance LG

Fault Impedance given A-Phase EMF and Sequence Impedances(LGF)

Go Fault Impedance LG = 1/3*((A Phase EMF LG/Positive Sequence Current LG)-(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG))

Fault Impedance using Fault Voltage and A-Phase Current(LGF)

Go Fault Impedance LG = Fault Voltage LG/A-Phase Current LG-(1/3*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG))

Fault Impedance given Sequence Voltages(LGF)

Go Fault Impedance LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current LG)

Positive Sequence Impedance for L-G-F

Go Positive Sequence Impedance LG = (EMF Induced in Primary Winding LG-Positive Sequence Voltage LG)/Positive Sequence Current LG

Negative Sequence Impedance for L-G-F

Go Negative Sequence Impedance LG = (-1)*Negative Sequence Voltage LG/Negative Sequence Current LG

Zero Sequence Impedance for L-G-F

Go Zero Sequence Impedance LG = (-1)*Zero Sequence Voltage LG/Zero Sequence Current LG

Fault Impedance using A-Phase Voltage(LGF)

Go Fault Impedance LG = A Phase Voltage LG/A-Phase Current LG

Fault Impedance given Sequence Voltages(LGF) Formula

Fault Impedance LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current LG)
Z_f(lg) = (V_0(lg)+V_1(lg)+V_2(lg))/(3*I_1(lg))

What are the Sequence Components?

The positive sequence consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation. The negative sequence consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation. Zero sequence consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together.

How to Calculate Fault Impedance given Sequence Voltages(LGF)?

Fault Impedance given Sequence Voltages(LGF) calculator uses Fault Impedance LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current LG) to calculate the Fault Impedance LG, The Fault Impedance given Sequence Voltages(LGF) formula is defined as the impedance which is connected to the earth. Fault Impedance LG is denoted by Z_f(lg) symbol.

How to calculate Fault Impedance given Sequence Voltages(LGF) using this online calculator? To use this online calculator for Fault Impedance given Sequence Voltages(LGF), enter Zero Sequence Voltage LG (V_0(lg)), Positive Sequence Voltage LG (V_1(lg)), Negative Sequence Voltage LG (V_2(lg)) & Positive Sequence Current LG (I_1(lg)) and hit the calculate button. Here is how the Fault Impedance given Sequence Voltages(LGF) calculation can be explained with given input values -> 8.521739 = (17.6+17.5+16.056)/(3*2.001).

FAQ

What is Fault Impedance given Sequence Voltages(LGF)?

The Fault Impedance given Sequence Voltages(LGF) formula is defined as the impedance which is connected to the earth and is represented as Z_f(lg) = (V_0(lg)+V_1(lg)+V_2(lg))/(3*I_1(lg)) or Fault Impedance LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current LG). Zero Sequence Voltage LG consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together, Positive Sequence Voltage LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation, Negative Sequence Voltage LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation & Positive Sequence Current LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.

How to calculate Fault Impedance given Sequence Voltages(LGF)?

The Fault Impedance given Sequence Voltages(LGF) formula is defined as the impedance which is connected to the earth is calculated using Fault Impedance LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current LG). To calculate Fault Impedance given Sequence Voltages(LGF), you need Zero Sequence Voltage LG (V_0(lg)), Positive Sequence Voltage LG (V_1(lg)), Negative Sequence Voltage LG (V_2(lg)) & Positive Sequence Current LG (I_1(lg)). With our tool, you need to enter the respective value for Zero Sequence Voltage LG, Positive Sequence Voltage LG, Negative Sequence Voltage LG & Positive Sequence Current LG and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Fault Impedance LG?

In this formula, Fault Impedance LG uses Zero Sequence Voltage LG, Positive Sequence Voltage LG, Negative Sequence Voltage LG & Positive Sequence Current LG. We can use 3 other way(s) to calculate the same, which is/are as follows -

Fault Impedance LG = A Phase Voltage LG/A-Phase Current LG
Fault Impedance LG = 1/3*((A Phase EMF LG/Positive Sequence Current LG)-(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG))
Fault Impedance LG = Fault Voltage LG/A-Phase Current LG-(1/3*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG))

Home

FREE PDFs

🔍 Search